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Finding the Fourth Proportional to 218,547.60, 301,606.92 and 133,638

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Solution

The fourth proportional to 218,547.60, 301,606.92 and 133,638 is: 184,427.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,547.60 : 301,606.92 = 133,638 : x
  2. Step 2: Convert to fraction form
    218,547.60/301,606.92 = 133,638/x
  3. Step 3: Cross multiply
    218,547.60x = 301,606.92 × 133,638
  4. Step 4: Simplify right side
    218,547.60x = 40,306,145,574.96
  5. Step 5: Solve for x
    x = 40,306,145,574.96/218,547.60
  6. Step 6: Final answer
    x = 184,427.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.